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312111321233 is a prime number
BaseRepresentation
bin1001000101010110100…
…10001101000010010001
31002211121120111220010012
410202223102031002101
520103200444234413
6355214300444305
731356260312645
oct4425322150221
91084546456105
10312111321233
11110402782198
12505a5549695
132358006bc8a
141116b85ac25
1581baabd7a8
hex48ab48d091

312111321233 has 2 divisors, whose sum is σ = 312111321234. Its totient is φ = 312111321232.

The previous prime is 312111321191. The next prime is 312111321251. The reversal of 312111321233 is 332123111213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227387829904 + 84723491329 = 476852^2 + 291073^2 .

It is a cyclic number.

It is not a de Polignac number, because 312111321233 - 224 = 312094544017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312111321199 and 312111321208.

It is not a weakly prime, because it can be changed into another prime (312111321133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156055660616 + 156055660617.

It is an arithmetic number, because the mean of its divisors is an integer number (156055660617).

Almost surely, 2312111321233 is an apocalyptic number.

It is an amenable number.

312111321233 is a deficient number, since it is larger than the sum of its proper divisors (1).

312111321233 is an equidigital number, since it uses as much as digits as its factorization.

312111321233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 23.

Adding to 312111321233 its reverse (332123111213), we get a palindrome (644234432446).

The spelling of 312111321233 in words is "three hundred twelve billion, one hundred eleven million, three hundred twenty-one thousand, two hundred thirty-three".